48452400 has 180 divisors, whose sum is σ = 172603288. Its totient is φ = 12579840.

The previous prime is 48452399. The next prime is 48452407. The reversal of 48452400 is 425484.

It is a tau number, because it is divible by the number of its divisors (180).

It is not an unprimeable number, because it can be changed into a prime (48452407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 154644 + ... + 154956.

Almost surely, 2^48452400 is an apocalyptic number.

48452400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48452400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86301644).

48452400 is an abundant number, since it is smaller than the sum of its proper divisors (124150888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48452400 is a wasteful number, since it uses less digits than its factorization.

48452400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 48452400 is about 6960.7758188294. The cubic root of 48452400 is about 364.5623076491.

Adding to 48452400 its reverse (425484), we get a palindrome (48877884).

The spelling of 48452400 in words is "forty-eight million, four hundred fifty-two thousand, four hundred".